Least Common Multiple of 13/934, 310/270, 384/813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 13/934, 310/270, 384/813 quickly i.e. 773760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/934, 310/270, 384/813 is 773760.

LCM(13/934, 310/270, 384/813) = 773760

LCM of 13/934, 310/270, 384/813

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 13/934,310/270,384/813

Given numbers are 13/934,310/270,384/813

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 13,310,384

Least Common Multiple of Numerators i.e. LCM of 13,310,384 is 773760.

GCF of Denominators means GCF of 934,270,813 as per the given fractions.

GCF of 934,270,813 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,310,384

LCM of Fractions 13/934,310/270,384/813 is 773760

2 13, 310, 384
13, 155, 192

∴ So the LCM of the given numbers is 2 x 13 x 155 x 192 = 773760

Least Common Multiple of 13,310,384 with GCF Formula

Least Common Multiple of 13,310,384 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 13,310,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,310,384) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(13,310,384) x common factors =1 x 2 = 2

LCM(13,310,384) = ( 13 × 310 × 384 ) / 2

LCM(13,310,384) = 1547520 / 2

LCM(13,310,384) = 773760


Lets's calculate GCF of 934,270,813

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 773760/1

Therefore the LCM of Fractions 13/934,310/270,384/813 is 773760

Greatest Common Factor of 934,270,813 By Matching Biggest Common Factor Method

Greatest Common Factor of 934,270,813 By Matching Biggest Common Factor Method

Factors of 934

List of positive integer factors of 934 that divides 934 without a remainder.

1,2,467,934

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Greatest Common Factor

We found the factors 934,270,813 . The biggest common factor number is the GCF number.
So the greatest common factor 934,270,813 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 13/934, 310/270, 384/813

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 13/934, 310/270, 384/813?

Answer: LCM of Numerators as per given numbers 13/934, 310/270, 384/813 is

LCM of Numerators i.e. for 13,310,384 is 773760

GCF of denominators i.e. for 934,270,813 is 1.

Thus, LCM of Fractions is 773760.Finally, LCM of Fractions for 13/934, 310/270, 384/813 is 773760.